The answer to your question is,
Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.
-Mabel <3
Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Remark
I would have had the answer a whole lot sooner if I would have read the question properly. The figure in the circle is called a cyclic quadrilateral. It has the odd property that the angles that are opposite each other add up to 180o.
So DEB + DCB = 180o
DEB = 180 - 87
DEB = 93o
Note: The arcs marked 60 and 76 have nothing whatever to do with this problem.
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
I’m pretty sure the answer is b! hope this helps!!